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The scattering of $\gamma \pi \to \pi \pi$ is studied using the axial anomaly, elastic unitarity, analyticity and crossing symmetry. Using the technique to derive the Roy's equation, an integral equation for the P-wave amplitude is obtained…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tran N. Truong

We revisit the recently proposed method for the determination of the pi-pi scattering length combination a_{0}-a_{2}, based on the study of the pi0 pi0 spectrum in K+ -> pi+ pi0 pi0. In view of a precision measurement, we discuss here the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nicola Cabibbo , Gino Isidori

We extend the quark Born diagram formalism for hadron-hadron scattering to processes with valence $q\bar q$ annihilation, specifically $I=0$ and $I=1$ $\pi\pi$ and $I=1/2$ $K\pi$ elastic scattering. This involves the $s$-channel hybrid…

High Energy Physics - Phenomenology · Physics 2009-09-25 Z. Li , M. Guidry , T. Barnes , E. S. Swanson

We review our recent analysis of $\pi K$ scattering data in terms of forward dispersion relations, and also present the parameters of the strange resonances. This work consists of fits to the data that are constrained to satisfy analyticity…

High Energy Physics - Phenomenology · Physics 2016-07-14 A. Rodas , J. R. Peláez

A combined fit is made to E791 data on D->K-pi-pi, LASS data on K-pi elastic scattering, and BES II data on J/Psi->K*(890)-K-pi.In all cases, the K-pi S-wave is fitted well with a kappa resonance and Ko(1430); the kappa requires an…

High Energy Physics - Experiment · Physics 2008-11-26 D. V. Bugg

Once and twice subtracted crossing symmetric dispersion relations applied to $\pi\pi \to \pi\pi$ scattering data are analyzed and compared. Both sets of dispersion relations can be used to test the $\pi\pi$ amplitudes in low partial waves…

High Energy Physics - Phenomenology · Physics 2009-05-14 R. Kaminski , R. Garcia-Martin , J. R. Pelaez , F. J. Yndurain

Based on the analysis of 6.031*10^7 K+- --> pi0 pi0 pi+- decays, the NA48/2 collaboration has recently determined the S-wave pi-pi scattering lengths a_0-a_2 with high precision. In addition, the scattering length a_2 has been independently…

High Energy Physics - Phenomenology · Physics 2015-03-19 Juerg Gasser , Bastian Kubis , Akaki Rusetsky

We discuss a number of old and new methods for computing $K\to\pi\pi$ amplitudes on the lattice. They all involve a non-perturbative determination of matching coefficients. We show how problems related to operator mixing can be greatly…

High Energy Physics - Lattice · Physics 2007-05-23 G. C. Rossi

The $\pi\pi$ scattering amplitude in the $\sigma$-channel is studied at finite baryonic density in the framework of a chiral unitary approach which successfully reproduces the meson meson phase shifts and generates the $f_0$ and $\sigma$…

Nuclear Theory · Physics 2011-02-09 D. Cabrera , E. Oset , M. J. Vicente Vacas

Based on a dispersive approach, we apply the inverse amplitude method to unitarize one-loop SU(2) and SU(3) Chiral Perturbation Theory. Numerically, we find that this unitarization technique yields the correct complex analytic structure in…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Dobado , J. R. Pelaez

We show how to use properties of the vectors which are iterated in the transfer-matrix approach to Anderson localization, in order to generate the statistical distribution of electronic wavefunction amplitudes at arbitary distances from the…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. L. A. de Queiroz

We determine elastic and coupled-channel amplitudes for isospin-1 meson-meson scattering in $P$-wave, by calculating correlation functions using lattice QCD with light quark masses such that $m_\pi = 236$ MeV in a cubic volume of $\sim (4…

High Energy Physics - Phenomenology · Physics 2015-11-11 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We apply adaptive sensing techniques to the problem of locating sparse metallic scatterers using high-resolution, frequency modulated continuous wave W-band RADAR. Using a single detector, a frequency stepped source, and a lateral…

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

The confined variational method is applied to investigate the low-energy elastic scattering of ortho-positronium from $\text{H}_2$ by first-principles quantum mechanics. Describing the correlation effect with explicitly correlated…

Atomic Physics · Physics 2019-09-11 J. -Y. Zhang , M. -S. Wu , Y. Qian , X. Gao , Y. -J. Yang , K. Varga , Z. -C. Yan , U. Schwingenschlögl

A system of dispersive representations of the Omn\`es-Khuri-Treiman-Sawyer-Wali type for the final-state interactions in the amplitudes of the $K\to\pi\pi\pi$ weak transitions is constructed, under the assumptions that CP and isospin…

High Energy Physics - Phenomenology · Physics 2024-03-27 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht , Bachir Moussallam

A method is presented which makes considerably more transparent possible patterns behind low-energy scattering data. In particular, structures associated with resonances, such as locations, widths and heights, become visible with a naked…

High Energy Physics - Phenomenology · Physics 2015-06-19 Patricia C. Magalhães , Manoel R. Robilotta

We suggest the most model-independent and simple description of the $\gamma\gamma\rightarrow\pi\pi$ process near threshold in framework of S-matrix approach. The amplitudes contain the pion polarizabilities and rather restricted information…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. E. Kaloshin , V. V. Serebryakov

We establish the framework for the comparison of $\pi K$ scattering amplitudes from SU(3) chiral perturbation theory with suitable dispersive representations which result from the combination of certain fixed-t dispersion relations with…

High Energy Physics - Phenomenology · Physics 2009-01-07 B. Ananthanarayan , P. Büttiker

The amplitude analysis has been performed on the pi0 pi0 final state obtained in the pi- p charge exchange process. The pi0 pi0 scattering amplitudes have been obtained for the S and D waves by the Chew-Low extrapolation and the partial…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kunio Takamatsu
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